Co-sponsored School/Workshop on Integrable Systems and Scientific Computing

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Co-sponsored School/Workshop on Integrable Systems and Scientific Computing | (smr 2042)

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Monday, 15 June 2009

08:00 - 09:00 Registration
- 08:00 Registration 1h0'

09:00 - 10:30 Hamiltonian perturbation of hyperbolic PDEs and applications (1)

09:00 Hamiltonian perturbation of hyperbolic PDEs and applications (1) 1h30'

Speaker:	B. Dubrovin (SISSA, Trieste, Italy)
Material:	lecture notes

10:30 - 11:00 Coffee Break
- 10:30 Coffee Break 30'

11:00 - 12:30 Introduction to Spectral Methods in Matlab (1)

11:00 Introduction to Spectral Methods in Matlab (1) 1h30'

Speaker:	C. Klein (Department of Mathematics, Dijon, France)
Material:	slides

12:30 - 15:00 Lunch Break
- 12:30 Lunch Break 2h30'

15:00 - 16:30 Introduction to Spectral Methods in Matlab (2)

15:00 Introduction to Spectral Methods in Matlab (2) 1h30'

Speaker:	C. Klein (Department of Mathematics, Dijon, France)
Material:	slides

16:30 - 17:00 Coffee Break
- 16:30 Coffee Break 30'

17:00 - 18:30 Exponential integrators for stiff systems (1)

17:00 Exponential integrators for stiff systems (1) 1h30'

Speaker:	P. Matthews (School of Mathematics, Nottingham, UK)
Material:	lecture notes

Tuesday, 16 June 2009

09:00 - 10:30 Riemann-Hilbert problems and random matrices (1)

09:00 Riemann-Hilbert problems and random matrices (1) 1h30'

Speaker:	A. Kuijlaars (Katholieke Universiteit, Leuven, Belgium)
Material:	lecture notes

10:30 - 11:00 Coffee Break
- 10:30 Coffee Break 30'

11:00 - 12:30 Hamiltonian perturbation of hyperbolic PDEs and applications (2)

11:00 Hamiltonian perturbation of hyperbolic PDEs and applications (2) 1h30'

Speaker:	B. Dubrovin (SISSA, Trieste, Italy)
Material:	lecture notes

12:30 - 14:50 Lunch Break
- 12:30 Lunch Break 2h20'

14:50 - 16:20 Introduction to Spectral Methods in Matlab (3)

14:50 Introduction to Spectral Methods in Matlab (3) 1h30'

Speaker:	C. Klein (Department of Mathematics, Dijon, France)
Material:	slides

16:20 - 16:50 Coffee Break
- 16:20 Coffee Break 30'

16:50 - 18:20 Geometric discretisations in numerical mathematical physics (1)

16:50 Geometric discretisations in numerical mathematical physics (1) 1h30'

Speaker:	J. Frauendiener (Center of Mathematics for Applications, Oslo, Norway)
Material:	slides

Wednesday, 17 June 2009

09:00 - 10:30 Riemann-Hilbert problems and random matrices (2)

09:00 Riemann-Hilbert problems and random matrices (2) 1h30'

Speaker:	A. Kuijlaars (Katholieke Universiteit, Leuven, Belgium)
Material:	lecture notes

10:30 - 11:00 Coffee Break
- 10:30 Coffee Break 30'

11:00 - 12:30 Hamiltonian perturbation of hyperbolic PDEs and applications (3)

11:00 Hamiltonian perturbation of hyperbolic PDEs and applications (3) 1h30'

Speaker:	B. Dubrovin (SISSA, Trieste, Italy)
Material:	lecture notes

12:30 - 15:00 Lunch Break
- 12:30 Lunch Break 2h30'

15:00 - 16:30 Exponential integrators for stiff systems (2)

15:00 Exponential integrators for stiff systems (2) 1h30'

Speaker:	P. Matthews (School of Mathematics, Nottingham, UK)
Material:	lecture notes

16:30 - 17:00 Coffee Break
- 16:30 Coffee Break 30'

17:00 - 18:30 Riemann-Hilbert problems and random matrices (3)

17:00 Riemann-Hilbert problems and random matrices (3) 1h30'

Speaker:	A. Kuijlaars (Katholieke Universiteit, Leuven, Belgium)
Material:	lecture notes

Thursday, 18 June 2009

09:00 - 10:30 Polyhedral surfaces and applications (1)

09:00 Polyhedral surfaces and applications (1) 1h30'

Speaker:	A. Bobenko (TU, Berlin, Germany)
Material:	lecture notes

10:30 - 11:00 Coffee Break
- 10:30 Coffee Break 30'

11:00 - 12:30 Numerical Evaluation of Fredholm Determinants, Painlevé Transcendents, and Applications to Random Matrix Theory (1)

11:00 Numerical Evaluation of Fredholm Determinants, Painlevé Transcendents, and Applications to Random Matrix Theory (1) 1h30'

Speaker:	F. Bornemann (TU, Munich, Germany)
Material:	lecture notes

12:30 - 15:00 Lunch Break
- 12:30 Lunch Break 2h30'

15:00 - 16:00 Convergence analysis of exponential integrators

15:00 Convergence analysis of exponential integrators 1h0'

Speaker:	A. Ostermann
Material:	lecture notes

16:00 - 17:00 Critical asymptotics for Toeplitz determinants

16:00 Critical asymptotics for Toeplitz determinants 1h0'

Speaker:	T. Claeys (Katholieke Universiteit, Leuven, Belgium)
Material:	slides

17:00 - 17:30 Coffee Break
- 17:00 Coffee Break 30'
17:30 - 18:30 Constructing equilibrium measures for orthogonal polynomials with complex weights: a numerical perspective
- 17:30 Constructing equilibrium measures for orthogonal polynomials with complex weights: a numerical perspective 1h0'
  
  Speaker: M. Bertola (Concordia University of Montreal, Canada)

Friday, 19 June 2009

10:00 - 11:00 Introduction: the KdV equation, direct scattering theory, and inverse scattering theory via Riemann-Hilbert problems
- 10:00 Introduction: the KdV equation, direct scattering theory, and inverse scattering theory via Riemann-Hilbert problems 1h0'
  
  Speaker: K. McLaughlin (University of Arizona, USA)
11:00 - 11:30 Coffee Break
- 11:00 Coffee Break 30'

11:30 - 12:30 Asymptotic Methods for Integrable Systems in Nonlinear Wave Theory

11:30 Asymptotic Methods for Integrable Systems in Nonlinear Wave Theory 1h0'

Speaker:	P. Miller (University of Michigan, USA)
Material:	slides

12:30 - 15:00 Lunch Break
- 12:30 Lunch Break 2h30'

15:00 - 16:30 Polyhedral surfaces and applications (2)

15:00 Polyhedral surfaces and applications (2) 1h30'

Speaker:	A. Bobenko (TU, Berlin, Germany)
Material:	lecture notes

16:30 - 17:00 Coffee Break
- 16:30 Coffee Break 30'

17:00 - 18:30 Operator Splitting Methods for Evolution Equations

17:00 Operator Splitting Methods for Evolution Equations 1h30'

Speaker:	A. Ostermann (Universitaet Innsbruck, Austria)
Material:	lecture notes

Saturday, 20 June 2009

09:00 - 10:30 Numerical Evaluation of Fredholm Determinants, Painlevé Transcendents, and Applications to Random Matrix Theory (2)

09:00 Numerical Evaluation of Fredholm Determinants, Painlevé Transcendents, and Applications to Random Matrix Theory (2) 1h30'

Speaker:	F. Bornemann (TU, Munich, Germany)
Material:	lecture notes

10:30 - 11:00 Coffee Break
- 10:30 Coffee Break 30'

11:00 - 12:30 Exponential integrators for stiff systems (3)

11:00 Exponential integrators for stiff systems (3) 1h30'

Speaker:	P. Matthews (School of Mathematics, Nottingham, UK)
Material:	lecture notes

12:30 - 14:00 Lunch Break
- 12:30 Lunch Break 1h30'

14:00 - 15:30 Geometric discretisations in numerical mathematical physics (2)

14:00 Geometric discretisations in numerical mathematical physics (2) 1h30'

Speaker:	J. Frauendiener (Center of Mathematics for Applications, Oslo, Norway)
Material:	slides